Home / 10,823.80-16,203.30-9,657.40

Finding the Fourth Proportional to 10,823.80, 16,203.30 and 9,657.40

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Solution

The fourth proportional to 10,823.80, 16,203.30 and 9,657.40 is: 14,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.80 : 16,203.30 = 9,657.40 : x
  2. Step 2: Convert to fraction form
    10,823.80/16,203.30 = 9,657.40/x
  3. Step 3: Cross multiply
    10,823.80x = 16,203.30 × 9,657.40
  4. Step 4: Simplify right side
    10,823.80x = 156,481,749.42
  5. Step 5: Solve for x
    x = 156,481,749.42/10,823.80
  6. Step 6: Final answer
    x = 14,457.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.